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12-16

energy density of states

URNurn:iso:std:iso:80000:-12:ed-2:en:item:12-16

https://metanorma.github.io/isq-smart/quantities/part-12/t12-16
urn:iso:std:iso:80000:-12:ed-2:en:item:12-16

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-12:ed-2:en:item:12-16

IEC

urn:iec:std:iec:80000-12:2019:::item:12-16

Designations

ENenergy density of states

FRdensité des états d'énergie

FRdensité des états

Symbol

n_{E} (E)

ρ (E)

Notation systems

Rendered

n_{E} (E)

Rendered

ρ (E)

AsciiMath

n_"E"(E)

AsciiMath

rho(E)

LaTeX

n_{\text{E}} ( E )

LaTeX

\rho ( E )

Definition

quantity given by the differential quotient with respect to energy:

n_{E} (E) = \frac{d n (E)}{d E}

where $n_{E} (E)$ is the total number of one-electron states per volume (ISO 80000-3: Space and time) with energy less than $E$ (ISO 80000-5: Thermodynamics)

grandeur donnée par le quotient différentiel par rapport à l'énergie :

n_{E} (E) = \frac{d n (E)}{d E}

où $n_{E} (E)$ est le nombre total des états par volume (ISO 80000-3: Space and time) d'énergie inférieure à $E$ (ISO 80000-5: Thermodynamics)

Units

J^{- 1} \cdot m^{- 3}

per joule cubic metre

View related quantities →

e V^{- 1} \cdot m^{- 3}

per electronvolt cubic metre

View related quantities →

k g^{- 1} \cdot m^{- 5} \cdot s^{2}

second squared per kilogram metre to the fifth

View related quantities →

Notes

Density of states refers to electrons or other entities, e.g. phonons. It may be normalized in other ways instead of with respect to volume, e.g. with respect to amount of substance.

La densité des états s'applique aux électrons ou à d'autres entités, par exemple des phonons. Elle peut également être normée d'une autre manière que par rapport au volume, par exemple par rapport à la quantité de matière.

Voir également density of vibrational states <angular frequency>.

Referenced by

density of vibrational states <angular frequency>

Concept HierarchyPendrill (2024)

L⁻⁵ M⁻¹ T²L⁻⁵ M⁻¹ T² quantitiesLevel 0 · Kind

Broader concepts

◇ L⁻⁵ M⁻¹ T² quantities

Characterizes

● electron● substance

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t12-16

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	12-16
skosxl:prefLabel	"energy density of states"@en
skosxl:altLabel	"n_"E"(E)"@en"rho(E)"@en
skos:definition	quantity given by the differential quotient with respect to energy: [stem%unnumbered] ++++ n_"E"(E) = ("d"n(E))/("d"E) …
skos:note	Density of states refers to electrons or other entities, e.g. phonons. It may be normalized in other ways instead of wit…
isq:hasUnit	J^(-1)m^(-3) (per joule cubic metre)eV^(-1)m^(-3) (per electronvolt cubic metre)kg^(-1)m^(-5)s^2 (second squared per kilogram metre to the fifth)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-12

Related Entities

isq:QuantityShape isq:part-12 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry

Definition

Units

Notes

Referenced by

Broader concepts

Characterizes

Ontology isq:Quantitysmart:TermEntry

Class Hierarchy

Instance IRI

Properties

Related Entities

Ontology
isq:Quantity smart:TermEntry